Statistical Description of Charged Particle Beams

The following sections are included:

• Introduction

• The Liouville Theorem and the Liouville Equation

• Ensemble of Identical Macroscopic Systems

• The Method of Microscopic Phase Space Density

• The Equation for the Microscopic Phase Space Density with a Small Source

• The Generalized Kinetic Equation

• The Balescu-Lenard Kinetic Equation

• The Landau Kinetic Equation

• The Approximate Collision Integral and the Generalized Kinetic Equation